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Finding the Third Proportional to 104,660 and 226,060

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Solution

The third proportional to 104,660 and 226,060 is: 488,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,660 : 226,060 = 226,060 : x
  2. Step 2: Convert to fraction form
    104,660/226,060 = 226,060/x
  3. Step 3: Cross multiply
    104,660x = 226,060 × 226,060
  4. Step 4: Simplify right side
    104,660x = 51,103,123,600
  5. Step 5: Solve for x
    x = 51,103,123,600/104,660
  6. Step 6: Final answer
    x = 488,277.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.